1/1×3+1/3×5+1/5×7······﹢1/47×49=1/2×(1-1/3)+1/2×(1/3-1/5)+...+1/2×(1/47-1/49)=1/2×(1-1/'3+1/3-1/5+1/5-1/7+...+1/47-1/49)=1/2×(1-1/49)=24/49